365820 has 96 divisors (see below), whose sum is σ = 1279488. Its totient is φ = 76032.

The previous prime is 365809. The next prime is 365837. The reversal of 365820 is 28563.

365820 = 43² + 44² + ... + 105².

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5427 + ... + 5493.

It is an arithmetic number, because the mean of its divisors is an integer number (13328).

2³⁶⁵⁸²⁰ is an apocalyptic number.

365820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639744).

365820 is an abundant number, since it is smaller than the sum of its proper divisors (913668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

365820 is a wasteful number, since it uses less digits than its factorization.

365820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 365820 is about 604.8305547837. The cubic root of 365820 is about 71.5191726503.

The spelling of 365820 in words is "three hundred sixty-five thousand, eight hundred twenty".